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Tuning Spectra
Spectrum of Pajara Tunings by Eigenmonzos
Gencom
: [7/5 3/2; 50/49 64/63 65/63 99/98]
Gencom map
: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|]
Eigenmonzo
Fifth
4/3
701.955
14/11
704.377
10/9
704.399
6/5
705.214 (5 limit minimax)
3125/2592
705.447 (5 limit least squares)
20\34
705.882
11/9
706.574
5/4
706.843
|0 -50 5 5 29>
707.106 (11 limit least squares)
33\56
707.143
12/11
707.234
35/27
707.246 (9 limit least squares)
15/11
707.390
11/8
708.114
11/10
708.749 (11 limit minimax)
9/7
708.771 (9 limit minimax)
71663616/52521875
708.814 (7 limit least squares)
|0 -49 9 9 37 -19>
708.901 (13 limit least squares)
|0 -51 7 10 42 -22>
709.038 (15 limit least squares)
13\22
709.091
7/6
711.043 (7 limit minimax)
32\54
711.111
13/11
711.151 (13 and 15 limit minimax)
16/15
711.731
19\32
712.500
13/10
713.553
8/7
715.587
15/13
717.420
14/13
717.925
15/14
719.443
16/13
720.264
13/12
738.573
Spectrum of Pajarous Tunings by Eigenmonzos
Gencom
: [7/5 3/2; 50/49 55/54 64/63 65/63]
Gencom map
: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|]
Eigenmonzo
Fifth
4/3
701.955
13/11
703.597
10/9
704.399
6/5
705.214 (5 limit minimax)
3125/2592
705.447 (5 limit least squares)
20\34
705.882
5/4
706.843
33\56
707.143
35/27
707.246 (9 limit least squares)
9/7
708.771 (9, 13 and 15 limit minimax)
71663616/52521875
708.814 (7 limit least squares)
13\22
709.091
11/10
709.286 (11 limit minimax)
|0 17 -16 -16 26>
709.883 (11 limit least squares)
11/8
710.264
15/11
710.508
|0 16 -20 -20 29 8>
710.665 (13 limit least squares)
|0 7 -29 -21 35 11>
710.879 (15 limit least squares)
7/6
711.043 (7 limit minimax)
32\54
711.111
16/15
711.731
14/11
711.785
12/11
712.341
19\32
712.500
13/10
713.553
8/7
715.587
11/9
715.803
15/13
717.420
14/13
717.925
15/14
719.443
16/13
720.264
13/12
738.573
Spectrum of Pajaro Tunings by Eigenmonzos
Gencom
: [7/5 3/2; 40/39 50/49 55/54 64/63]
Gencom map
: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|]
Eigenmonzo
Fifth
4/3
701.955
10/9
704.399
6/5
705.214 (5 limit minimax)
3125/2592
705.447 (5 limit least squares)
20\34
705.882
5/4
706.843
33\56
707.143
35/27
707.246 (9 limit least squares)
9/7
708.771 (9 limit minimax)
71663616/52521875
708.814 (7 limit least squares)
13\22
709.091
11/10
709.286 (11 limit minimax)
|0 17 -16 -16 26>
709.883 (11 limit least squares)
11/8
710.264
15/11
710.508
7/6
711.043 (7 limit minimax)
32\54
711.111
|0 31 -15 -15 34 -22>
711.580 (13 limit least squares)
|0 27 -19 -16 40 -24>
711.631 (15 limit least squares)
16/15
711.731
14/11
711.785
12/11
712.341
19\32
712.500
18/13
712.676 (13 and 15 limit minimax)
13/11
713.849
13/12
715.357
8/7
715.587
11/9
715.803
15/14
719.443
16/13
719.824
15/13
723.871
14/13
728.298
13/10
745.786
Spectrum of Pajaric Tunings by Eigenmonzos
Gencom
: [7/5 3/2; 40/39 45/44 50/49 56/55]
Gencom map
: [<2 2 7 8 7 11|, <0 1 -2 -2 0 -3|]
Eigenmonzo
Fifth
15/11
663.049
11/10
682.502
14/11
691.246
4/3
701.955
13/11
703.597
10/9
704.399
6/5
705.214 (5 limit minimax)
3125/2592
705.447 (5 limit least squares)
20\34
705.882
|0 -32 11 11 -1>
706.676 (11 limit least squares)
5/4
706.843 (11, 13 and 15 limit minimax)
33\56
707.143
35/27
707.246 (9 limit least squares)
9/7
708.771 (9 limit minimax)
71663616/52521875
708.814 (7 limit least squares)
13\22
709.091
|0 -46 10 10 -4 17>
709.889 (13 limit least squares)
|0 -47 9 11 -5 19>
710.032 (15 limit least squares)
7/6
711.043 (7 limit minimax)
32\54
711.111
16/15
711.731
19\32
712.500
18/13
712.676
13/12
715.357
8/7
715.587
15/14
719.443
16/13
719.824
15/13
723.871
11/9
726.296
14/13
728.298
13/10
745.786
12/11
750.637
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Tuning Spectra
Spectrum of Pajara Tunings by Eigenmonzos
Gencom: [7/5 3/2; 50/49 64/63 65/63 99/98]
Gencom map: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|]
Spectrum of Pajarous Tunings by Eigenmonzos
Gencom: [7/5 3/2; 50/49 55/54 64/63 65/63]
Gencom map: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|]
Spectrum of Pajaro Tunings by Eigenmonzos
Gencom: [7/5 3/2; 40/39 50/49 55/54 64/63]
Gencom map: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|]
Spectrum of Pajaric Tunings by Eigenmonzos
Gencom: [7/5 3/2; 40/39 45/44 50/49 56/55]
Gencom map: [<2 2 7 8 7 11|, <0 1 -2 -2 0 -3|]